Hamiltonian non-Hermicity: accurate dynamics with the multiple Davydov D2 Ansätze

• Main Authors: Zhang, Lixing, Shen, Kaijun, Yan, Yiying, Sun, Kewei, Gelin, Maxim F., Zhao, Yang
• Other Authors: School of Materials Science and Engineering
• Format: Article
• Language: English
• Published: 2024
• Subjects: Physics; Hermitian operator; Quantum computing
• Online Access: https://hdl.handle.net/10356/181268
• Institution: Nanyang Technological University

We examine the applicability of the numerically accurate method of time dependent variation with multiple Davydov Ansätze (mDA) to non-Hermitian systems. As illustrative examples, three systems of interest have been studied, a non-Hermitian system of dissipative Landau-Zener transitions, a non-Hermitian multimode Jaynes-Cummings model, and a dissipative Holstein-Tavis-Cummings model, all of which are shown to be effectively described by the mDA method. Our findings high light the versatility of the mDA as a powerful numerical tool for investigating complex many-body non-Hermitian systems, which can be extended to explore diverse phenomena such as skin effects, excited-state dynamics, and spectral topology in the non-Hermitian field.